Embedded constant mean curvature surfaces in Euclidean three-space

被引：7

作者：

Breiner, Christine ^{[1
]}

Kapouleas, Nikolaos ^{[2
]}

机构：

[1] Fordham Univ, Dept Math, Bronx, NY 10458 USA

[2] Brown Univ, Dept Math, Providence, RI 02912 USA

来源：

MATHEMATISCHE ANNALEN | 2014年 / 360卷 / 3-4期

基金：

美国国家科学基金会;

关键词：

MINIMAL-SURFACES;

D O I：

10.1007/s00208-014-1056-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we refine the construction and related estimates for complete constant mean curvature surfaces in Euclidean three-space developed in Kapouleas (Ann Math 131:239-330, 1990) by adopting the more precise and powerful version of the methodology which was developed in Kapouleas (Invent Math 119(3):443-518, 1995). As a consequence we remove the severe restrictions in establishing embeddedness for complete Constant Mean Curvature surfaces in Kapouleas (Ann Math 131:239-330, 1990) and we produce a very large class of new embedded examples of finite topology.

引用

页码：1041 / 1108

页数：68

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